111221442433200 has 960 divisors, whose sum is σ = 411643733114880. Its totient is φ = 25404707328000.

The previous prime is 111221442433183. The next prime is 111221442433267. The reversal of 111221442433200 is 2334244122111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43736311129 + ... + 43736313671.

It is an arithmetic number, because the mean of its divisors is an integer number (428795555328).

Almost surely, 2^{111221442433200} is an apocalyptic number.

111221442433200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111221442433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205821866557440).

111221442433200 is an abundant number, since it is smaller than the sum of its proper divisors (300422290681680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111221442433200 is a wasteful number, since it uses less digits than its factorization.

111221442433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 111221442433200 its reverse (2334244122111), we get a palindrome (113555686555311).

The spelling of 111221442433200 in words is "one hundred eleven trillion, two hundred twenty-one billion, four hundred forty-two million, four hundred thirty-three thousand, two hundred".